2138291426918400
2,138,291,426,918,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 2138291426918400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
2138291426918400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 2138291426918400:
215 × 3 × 52 × 132 × 22692
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 2269 × 2269)See below for interesting mathematical facts about the number 2138291426918400 from the Numbermatics database.
Names of 2138291426918400
- Cardinal: 2138291426918400 can be written as Two quadrillion, one hundred thirty-eight trillion, two hundred ninety-one billion, four hundred twenty-six million, nine hundred eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 2.1382914269184 × 1015
Factors of 2138291426918400
Divisors of 2138291426918400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 128 130 150 156 160 169 192 195 200 208 240 256 260 300 312 320 325 338 384 390 400 416 480 507 512 520 600 624 640 650 676 768 780 800 832 845 960 975 1014 1024 1040 1200 1248 1280 1300 1352 1536 1560 1600 1664 1690 1920 1950 2028 2048 2080 2269 2400 2496 2535 2560 2600 2704 3072 3120 3200 3328 3380 3840 3900 4056 4096 4160 4225 4538 4800 4992 5070 5120 5200 5408 6144 6240 6400 6656 6760 6807 7680 7800 8112 8192 8320 8450 9076 9600 9984 10140 10240 10400 10816 11345 12288 12480 12675 12800 13312 13520 13614 15360 15600 16224 16384 16640 16900 18152 19200 19968 20280 20480 20800 21632 22690 24576 24960 25350 25600 26624 27040 27228 29497 30720 31200 32448 32768 33280 33800 34035 36304 38400 39936 40560 40960 41600 43264 45380 49152 49920 50700 51200 53248 54080 54456 56725 58994 61440 62400 64896 66560 67600 68070 72608 76800 79872 81120 81920 83200 86528 88491 90760 98304 99840 101400 102400 106496 108160 108912 113450 117988 122880 124800 129792 133120 135200 136140 145216 147485 153600 159744 162240 163840 166400 170175 173056 176982 181520 199680 202800 204800 212992 216320 217824 226900 235976 245760 249600 259584 266240 270400 272280 290432 294970 307200 319488 324480 332800 340350 346112 353964 363040 383461 399360 405600 409600 425984 432640 435648 442455 453800 471952 491520 499200 519168 532480 540800 544560 580864 589940 614400 638976 648960 665600 680700 692224 707928 726080 737425 766922 798720 811200 819200 865280 871296 884910 907600 943904 998400 1038336 1064960 1081600 1089120 1150383 1161728 1179880 1228800 1277952 1297920 1331200 1361400 1384448 1415856 1452160 1474850 1533844 1597440 1622400 1730560 1742592 1769820 1815200 1887808 1917305 1996800 2076672 2129920 2163200 2178240 2212275 2300766 2323456 2359760 2457600 2595840 2662400 2722800 2768896 2831712 2904320 2949700 3067688 3194880 3244800 3461120 3485184 3539640 3630400 3775616 3834610 3993600 4153344 4326400 4356480 4424550 4601532 4646912 4719520 5148361 5191680 5324800 5445600 5537792 5663424 5751915 5808640 5899400 6135376 6389760 6489600 6922240 6970368 7079280 7260800 7551232 7669220 7987200 8306688 8652800 8712960 8849100 9203064 9293824 9439040 9586525 10296722 10383360 10649600 10891200 11326848 11503830 11617280 11798800 12270752 12979200 13844480 13940736 14158560 14521600 15102464 15338440 15445083 15974400 16613376 17305600 17425920 17698200 18406128 18587648 18878080 19173050 20593444 20766720 21782400 22653696 23007660 23234560 23597600 24541504 25741805 25958400 27688960 27881472 28317120 28759575 29043200 30204928 30676880 30890166 31948800 34611200 34851840 35396400 36812256 37175296 37756160 38346100 41186888 41533440 43564800 45307392 46015320 46469120 47195200 49083008 51483610 51916800 55762944 56634240 57519150 58086400 60409856 61353760 61780332 66928693 69222400 69703680 70792800 73624512 74350592 75512320 76692200 77225415 82373776 83066880 87129600 90614784 92030640 92938240 94390400 98166016 102967220 103833600 111525888 113268480 115038300 116172800 120819712 122707520 123560664 128709025 133857386 138444800 139407360 141585600 147249024 151024640 153384400 154450830 164747552 174259200 181229568 184061280 185876480 188780800 196332032 200786079 205934440 207667200 223051776 226536960 230076600 232345600 241639424 245415040 247121328 257418050 267714772 278814720 283171200 294498048 302049280 306768800 308901660 329495104 334643465 348518400 362459136 368122560 371752960 377561600 386127075 392664064 401572158 411868880 415334400 453073920 460153200 464691200 483278848 490830080 494242656 514836100 535429544 557629440 566342400 588996096 604098560 613537600 617803320 658990208 669286930 697036800 724918272 736245120 755123200 772254150 785328128 803144316 823737760 870073009 906147840 920306400 929382400 966557696 981660160 988485312 1003930395 1029672200 1070859088 1115258880 1132684800 1177992192 1208197120 1227075200 1235606640 1317980416 1338573860 1394073600 1449836544 1472490240 1510246400 1544508300 1570656256 1606288632 1647475520 1673217325 1740146018 1812295680 1840612800 1858764800 1963320320 1976970624 2007860790 2059344400 2141718176 2265369600 2355984384 2416394240 2454150400 2471213280 2610219027 2635960832 2677147720 2788147200 2899673088 2944980480 3020492800 3089016600 3141312512 3212577264 3294951040 3346434650 3480292036 3624591360 3681225600 3926640640 3953941248 4015721580 4118688800 4283436352 4350365045 4530739200 4711968768 4832788480 4908300800 4942426560 5019651975 5220438054 5271921664 5354295440 5576294400 5889960960 6040985600 6178033200 6282625024 6425154528 6589902080 6692869300 6960584072 7249182720 7362451200 7853281280 7907882496 8031443160 8237377600 8566872704 8700730090 9061478400 9423937536 9816601600 9884853120 10039303950 10440876108 10543843328 10708590880 11779921920 12081971200 12356066400 12565250048 12850309056 13051095135 13179804160 13385738600 13921168144 14498365440 14724902400 15706562560 15815764992 16062886320 16474755200 17133745408 17401460180 18122956800 18847875072 19633203200 19769706240 20078607900 20881752216 21087686656 21417181760 21751825225 23559843840 24163942400 24712132800 25700618112 26102190270 26359608320 26771477200 27842336288 29449804800 31413125120 31631529984 32125772640 32949510400 34267490816 34802920360 36245913600 37695750144 39266406400 39539412480 40157215800 41763504432 42175373312 42834363520 43503650450 47119687680 49424265600 51401236224 52204380540 52719216640 53542954400 55684672576 58899609600 62826250240 63263059968 64251545280 65255475675 65899020800 68534981632 69605840720 72491827200 78532812800 79078824960 80314431600 83527008864 84350746624 85668727040 87007300900 94239375360 98848531200 102802472448 104408761080 105438433280 107085908800 111369345152 117799219200 126526119936 128503090560 130510951350 131798041600 137069963264 139211681440 157065625600 158157649920 160628863200 167054017728 168701493248 171337454080 174014601800 188478750720 197697062400 205604944896 208817522160 210876866560 214171817600 222738690304 235598438400 253052239872 257006181120 261021902700 263596083200 274139926528 278423362880 314131251200 316315299840 321257726400 334108035456 342674908160 348029203600 395394124800 411209889792 417635044320 421753733120 428343635200 445477380608 471196876800 506104479744 514012362240 522043805400 527192166400 548279853056 556846725760 632630599680 642515452800 668216070912 685349816320 696058407200 790788249600 822419779584 835270088640 843507466240 856687270400 890954761216 942393753600 1028024724480 1044087610800 1054384332800 1096559706112 1113693451520 1265261199360 1285030905600 1336432141824 1370699632640 1392116814400 1581576499200 1644839559168 1670540177280 1713374540800 1781909522432 2056049448960 2088175221600 2108768665600 2193119412224 2227386903040 2530522398720 2570061811200 2672864283648 2741399265280 2784233628800 3163152998400 3289679118336 3341080354560 3426749081600 3563819044864 4112098897920 4176350443200 4217537331200 4454773806080 5140123622400 5345728567296 5482798530560 5568467257600 6326305996800 6579358236672 6682160709120 6853498163200 7127638089728 8224197795840 8352700886400 8909547612160 10280247244800 10691457134592 10965597061120 11136934515200 12652611993600 13364321418240 13706996326400 14255276179456 16448395591680 16705401772800 17819095224320 20560494489600 21382914269184 22273869030400 26728642836480 27413992652800 28510552358912 32896791183360 33410803545600 35638190448640 41120988979200 42765828538368 44547738060800 53457285672960 54827985305600 66821607091200 71276380897280 82241977958400 85531657076736 89095476121600 106914571345920 133643214182400 142552761794560 164483955916800 178190952243200 213829142691840 267286428364800 356381904486400 427658285383680 534572856729600 712763808972800 1069145713459200 2138291426918400
- Sum of all divisors σ(n): 7659607505858820
- Sum of proper divisors (its aliquot sum) s(n): 5521316078940420
- 2138291426918400 is an abundant number, because the sum of its proper divisors (5521316078940420) is greater than itself. Its abundance is 3383024652022020
Bases of 2138291426918400
- Binary: 1111001100011000011110001001110110110000000000000002
- Hexadecimal: 0x798C3C4ED8000
- Base-36: L1YLIQJE2O
Squares and roots of 2138291426918400
- 2138291426918400 squared (21382914269184002) is 4572290226432727168120258560000
- 2138291426918400 cubed (21382914269184003) is 9776888992563890413344626046952752021504000000
-
The
square root of 2138291426918400 is 46241663.3234402587 -
The
cube root of 2138291426918400 is 128831.5696769251
Scales and comparisons
How big is 2138291426918400?- 2,138,291,426,918,400 seconds is equal to 67,991,053 years, 10 weeks, 5 days, 2 hours, 40 minutes.
-
To count from 1 to 2,138,291,426,918,400 would take you about two hundred three million, nine hundred seventy-three thousand, one hundred fifty-nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 2138291426918400 cubic inches would be around 10736 feet tall.
Recreational maths with 2138291426918400
- 2138291426918400 backwards is 0048196241928312
- 2138291426918400 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 2138291426918400's digits is 60
- More coming soon!
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The information we have on file for 2138291426918400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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